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Simplifying 7(w + -6) + 1 = -13 Reorder the terms: 7(-6 + w) + 1 = -13 (-6 * 7 + w * 7) + 1 = -13 (-42 + 7w) + 1 = -13 Reorder the terms: -42 + 1 + 7w = -13 Combine like terms: -42 + 1 = -41 -41 + 7w = -13 Solving -41 + 7w = -13 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 7w = -13 + 41 Combine like terms: -41 + 41 = 0 0 + 7w = -13 + 41 7w = -13 + 41 Combine like terms: -13 + 41 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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